The Combination Formula is used to determine the number of ways to select items from a collection where the order of selection is irrelevant. In layman’s terms, combination is the selection of objects or things from a larger group where order is irrelevant.
The Combination Formula aids in determining the number of possible combinations that can be obtained by selecting a subset of items from a larger set. It demonstrates how many different subsets can be formed from the larger set.
Permutation and the Combination Formula are methods for calculating the number of possible outcomes in various situations. Permutations are referred to as arrangements, while combinations are referred to as selections. To easily employ counting, there are sum rules and product rules according to the fundamental principle of counting. Permutation and combination are counting principles that are used in a variety of situations. A permutation is a count of the various arrangements that can be made from a given set of items. Details matter in permutation because the order or sequence is important. The order in which the names are written is important. When the names of three countries are combined, they form a single group, and the order or sequence is irrelevant.
Formula for Combination
It is very important for students to know all the formulas of the Combination Formula to completely understand this chapter. Students can prepare well for this topic with the help of the resources provided by Extramarks.
Notations in nCr Formula:
The size of each permutation is r, and the size of the set from which the elements are permuted is n. Both n and r are non-negative integers.
The factorial operator is !
The Combination Formula demonstrates how many different ways a sample of “r” elements can be obtained from a larger set of “n” distinguishable objects.
Example Question From Combination Formula
To solve the example questions of Combination Formula, students can refer to the various resources provided by Extramarks. Extramarks provides resources such as NCERT Solutions, previous years’ paper solutions, Revision notes, etc. All the resources can be downloaded from the website and mobile application of Extramarks. Students are advised to download the resources in PDF format for easy access. Students can trust the resources provided by Extramarks as they are written by expert subject teachers. Moreover, all resources provided by Extramarks are written according to the latest CBSE guidelines.